Pith Number

pith:ZAYTNWIR

pith:2015:ZAYTNWIR5LZ6VTG5PLJVYW3ZJV

not attested not anchored not stored refs pending

Unbounded composition operators via inductive limits: cosubnormal operators with matrix symbols. II

Artur Planeta, Piotr Budzynski, Piotr Dymek

arxiv:1510.05441 v1 · 2015-10-19 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAYTNWIR5LZ6VTG5PLJVYW3ZJV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:50:22.883953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83136d911eaf3eaccdd7ad35c5b794d62f5b8f1f21e6c2f09a978f7a268d716

Aliases

arxiv: 1510.05441 · arxiv_version: 1510.05441v1 · doi: 10.48550/arxiv.1510.05441 · pith_short_12: ZAYTNWIR5LZ6 · pith_short_16: ZAYTNWIR5LZ6VTG5 · pith_short_8: ZAYTNWIR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZAYTNWIR5LZ6VTG5PLJVYW3ZJV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c83136d911eaf3eaccdd7ad35c5b794d62f5b8f1f21e6c2f09a978f7a268d716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b82293503b47deeac87f1e554926225288c1985274464c7adae44c3eb0ad98a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-19T12:08:45Z",
    "title_canon_sha256": "cf20a462a914b51b0208746e2d07c1b654b2bf00647b6eaa8906949f9e5e4e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05441",
    "kind": "arxiv",
    "version": 1
  }
}